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114240053312325 = 325231163100481609
BaseRepresentation
bin11001111110011010010101…
…110010111111101101000101
3112222111020112201220020210200
4121332122111302333231011
5104433202112121443300
61042545053405241113
733030400006152213
oct3176322562775505
9488436481806720
10114240053312325
1133444a30954376
12109905a2863199
134b98a38516565
14202d368a49cb3
15d319a515a200
hex67e695cbfb45

114240053312325 has 72 divisors (see below), whose sum is σ = 212512978179840. Its totient is φ = 58600873785600.

The previous prime is 114240053312311. The next prime is 114240053312351. The reversal of 114240053312325 is 523213350042411.

114240053312325 is a `hidden beast` number, since 1 + 1 + 42 + 40 + 0 + 533 + 1 + 23 + 25 = 666.

It is not a de Polignac number, because 114240053312325 - 213 = 114240053304133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114240053312325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49103880 + ... + 51377729.

Almost surely, 2114240053312325 is an apocalyptic number.

114240053312325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114240053312325 is a deficient number, since it is larger than the sum of its proper divisors (98272924867515).

114240053312325 is a wasteful number, since it uses less digits than its factorization.

114240053312325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100481819 (or 100481811 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 114240053312325 in words is "one hundred fourteen trillion, two hundred forty billion, fifty-three million, three hundred twelve thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 163 225 279 465 489 775 815 1395 1467 2325 2445 4075 5053 6975 7335 12225 15159 25265 36675 45477 75795 126325 227385 378975 1136925 100481609 301444827 502408045 904334481 1507224135 2512040225 3114929879 4521672405 7536120675 9344789637 15574649395 16378502267 22608362025 28034368911 46723948185 49135506801 77873246975 81892511335 140171844555 147406520403 233619740925 245677534005 409462556675 507733570277 700859222775 737032602015 1228387670025 1523200710831 2538667851385 3685163010075 4569602132493 7616003554155 12693339256925 22848010662465 38080017770775 114240053312325